If $ 4^ {x}= rac4{2^ {x}}$, then what is the value of x?

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$4^ {x}= \frac4{2^ {x}}$ ആയാൽ x ന്റെ വിലയെന്ത്?

A3/4

B2/3

C1/4

D4/3

Answer:

$4^ {x}= \frac4{2^ {x}}$
$2^ {2x}= \frac{2^{2}}{2^ {x}}$
$2^ {2x}= {2^ {2-x}}$
$2x = 2 - x$
$3x = 2$
$x = 2/3$

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